Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5236c |
Isogeny class |
Conductor |
5236 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-11718251776 = -1 · 28 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11+ -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252,-5516] |
[a1,a2,a3,a4,a6] |
Generators |
[31:132:1] |
Generators of the group modulo torsion |
j |
-6940769488/45774421 |
j-invariant |
L |
2.0180133836613 |
L(r)(E,1)/r! |
Ω |
0.53315367673198 |
Real period |
R |
3.7850501116882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20944g2 83776p2 47124w2 36652j2 |
Quadratic twists by: -4 8 -3 -7 |